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Finding the Fourth Proportional to 1,640.76, 2,265.02 and 1,051.63

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Solution

The fourth proportional to 1,640.76, 2,265.02 and 1,051.63 is: 1,451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.76 : 2,265.02 = 1,051.63 : x
  2. Step 2: Convert to fraction form
    1,640.76/2,265.02 = 1,051.63/x
  3. Step 3: Cross multiply
    1,640.76x = 2,265.02 × 1,051.63
  4. Step 4: Simplify right side
    1,640.76x = 2,381,962.98
  5. Step 5: Solve for x
    x = 2,381,962.98/1,640.76
  6. Step 6: Final answer
    x = 1,451.74

Related Problems

Find fourth proportional to 820.38, 1,132.51 and 525.82
Half scale
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Double scale
Find fourth proportional to 1,641.76, 2,266.40 and 1,052.63
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.